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Mathematical Analysis of an Autoimmune Diseases Model: Kinetic Approach

Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Słoneczna 54, 10-710 Olsztyn, Poland
Mathematics 2019, 7(11), 1024; https://doi.org/10.3390/math7111024
Received: 9 July 2019 / Revised: 30 September 2019 / Accepted: 25 October 2019 / Published: 30 October 2019
A new mathematical model of a general autoimmune disease is presented. Basic information about autoimmune diseases is given and illustrated with examples. The model is developed by using ideas from the kinetic theory describing individuals expressing certain functions. The modeled problem is formulated by ordinary and partial equations involving a variable for a functional state. Numerical results are presented and discussed from a medical view point. View Full-Text
Keywords: kinetic theory; active particles; autoimmune disease kinetic theory; active particles; autoimmune disease
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Kolev, M. Mathematical Analysis of an Autoimmune Diseases Model: Kinetic Approach. Mathematics 2019, 7, 1024.

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